Quantum N-body problem with a minimal length

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 82, Issue 6, 2010, Pages

  Buisseret, Fabien ^a  

^a UNIVERSITY OF MONS   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL FORMULAS; BOUND STATE; DIMENSIONAL SYSTEMS; GENERIC POTENTIAL; GROUND-STATE ENERGIES; HARMONIC OSCILLATORS; HEISENBERG; N BODY PROBLEM; N-BODY SYSTEM; NONRELATIVISTIC QUANTUM MECHANICS; PAIRWISE INTERACTION; QUANTUM-MECHANICAL PREDICTIONS; TWO-BODY PROBLEM;

GROUND STATE; OSCILLATORS (ELECTRONIC);

QUANTUM THEORY;

EID: 78650985548     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.062102     Document Type: Article

References (29)

1. D. J. Gross and P. F. Mende, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(88)90390-2 303, 407 (1988).
2. D. Amati, M. Ciafaloni, and G. Veneziano, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(89)91366-X 216, 41 (1989).
3. M. Maggiore, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(93)90785-G 319, 83 (1993).
4. A. Connes, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF02506388 182, 155 (1996).
5. G. Amelino-Camelia, J. Ellis, N. E. Mavromatos, and D. V. Nanopoulos, Mod. Phys. Lett. A MPLAEQ 0217-7323 10.1142/S0217732397002077 12, 2029 (1997).
6. N. Seiberg and E. Witten, J. High Energy Phys. JHEPFG 1126-6708 10.1088/1126-6708/1999/09/032 09 (1999) 032 and references therein.
7. A. Kempf, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.530798 35, 4483 (1994). (Pubitemid 24816782)
8. A. Kempf, G. Mangano, and R. B. Mann, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.52.1108 52, 1108 (1995);
9. H. Hinrichsen and A. Kempf, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.531501 37, 2121 (1996).
10. A. Kempf, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/6/030 30, 2093 (1997). (Pubitemid 127041758)
11. L. N. Chang, D. Minic, N. Okamura, and T. Takeuchi, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.65.125027 65, 125027 (2002). (Pubitemid 44628320)
12. I. Dadic, L. Jonke, and S. Meljanac, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.67.087701 67, 087701 (2003).
13. C. Quesne and V. M. Tkachuk, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/43/006 37, 10095 (2004). (Pubitemid 39519387)
14. C. Quesne and V. M. Tkachuk, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/8/011 38, 1747 (2005); (Pubitemid 40317068)
15. C. Quesne and V. M. Tkachuk, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/34/021 39, 10909 (2006). (Pubitemid 44226169)
16. F. Brau, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/32/44/308 32, 7691 (1999).
17. S. Benczik, L. N. Chang, D. Minic, and T. Takeuchi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.012104 72, 012104 (2005). (Pubitemid 41492435)
18. M. Maziashvili and Z. Silagadze, Int. J. Mod. Phys. D IMPDEO 0218-2718 10.1142/S0218271810016348 19, 137 (2010).
19. D. Bouaziz and N. Ferkous, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.022105 82, 022105 (2010).
20. F. Brau and F. Buisseret, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.74.036002 74, 036002 (2006). (Pubitemid 44157426)
21. R. Banerjee, B. D. Roy, and S. Samanta, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.74.045015 74, 045015 (2006). (Pubitemid 44246535)
22. M. V. Battisti and S. Meljanac, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.79.067505 79, 067505 (2009);
23. C. Quesne and V. M. Tkachuk, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.012106 81, 012106 (2010).
24. T. V. Fityo, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2008.07. 047 372, 5872 (2008).
25. P. Wang, H. Yang, and X. Zhang, J. High Energy Phys. JHEPFG 1126-6708 10.1007/JHEP08(2010)043 08 (2010) 043.
26. L. Hall and H. R. Post, Proc. R. Soc. PPSOAU 0370-1328 10.1088/0370-1328/90/2/309 90, 381 (1967).
27. C. Semay and B. Silvestre-Brac, J. Phys. A PPSOAU 1751-8113 10.1088/1751-8113/43/26/265302 43, 265302 (2010).
28. B. Silvestre-Brac, C. Semay, and F. Buisseret, J. Phys. A PPSOAU 1751-8113 10.1088/1751-8113/41/27/275301 41, 275301 (2008).
29. B. Silvestre-Brac, C. Semay, F. Buisseret, and F. Brau, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.3340799 51, 032104 (2010).